{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Ch `09`: Concept `02`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Convolutions and maxpool"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Load the CIFAR-10 images, and define helper functions to visualize the convolutions and weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "names ['airplane', 'automobile', 'bird', 'cat', 'deer', 'dog', 'frog', 'horse', 'ship', 'truck']\n",
      "(50000, 3072) (50000,)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cifar_tools\n",
    "import tensorflow as tf\n",
    "\n",
    "names, data, labels = \\\n",
    "    cifar_tools.read_data('./cifar-10-batches-py')\n",
    "\n",
    "\n",
    "def show_conv_results(data, filename=None):\n",
    "    plt.figure()\n",
    "    rows, cols = 4, 8\n",
    "    for i in range(np.shape(data)[3]):\n",
    "        img = data[0, :, :, i]\n",
    "        plt.subplot(rows, cols, i + 1)\n",
    "        plt.imshow(img, cmap='Greys_r', interpolation='none')\n",
    "        plt.axis('off')\n",
    "    if filename:\n",
    "        plt.savefig(filename)\n",
    "    else:\n",
    "        plt.show()\n",
    "\n",
    "\n",
    "def show_weights(W, filename=None):\n",
    "    plt.figure()\n",
    "    rows, cols = 4, 8\n",
    "    for i in range(np.shape(W)[3]):\n",
    "        img = W[:, :, 0, i]\n",
    "        plt.subplot(rows, cols, i + 1)\n",
    "        plt.imshow(img, cmap='Greys_r', interpolation='none')\n",
    "        plt.axis('off')\n",
    "    if filename:\n",
    "        plt.savefig(filename)\n",
    "    else:\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Let's start with a an example image:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1oLwx5XKPXPnKkAIBqoAY1btf84E/3Io8B9YhMhyRsR3Fcb4ZsVSAj+8r72WU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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fed08a6f978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "raw_data = data[4, :]\n",
    "raw_img = np.reshape(raw_data, (24, 24))\n",
    "plt.figure()\n",
    "plt.imshow(raw_img, cmap='Greys_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Define the TensorFlow ops:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "x = tf.reshape(raw_data, shape=[-1, 24, 24, 1])\n",
    "W = tf.Variable(tf.random_normal([5, 5, 1, 32]))\n",
    "b = tf.Variable(tf.random_normal([32]))\n",
    "\n",
    "conv = tf.nn.conv2d(x, W, strides=[1, 1, 1, 1], padding='SAME')\n",
    "conv_with_b = tf.nn.bias_add(conv, b)\n",
    "conv_out = tf.nn.relu(conv_with_b)\n",
    "\n",
    "k = 2\n",
    "maxpool = tf.nn.max_pool(conv_out, ksize=[1, k, k, 1], strides=[1, k, k, 1], padding='SAME')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Visualize the effects of running the convolution and maxpool ops:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "weights:\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fecb4e65f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "convolution results:\n",
      "(1, 24, 24, 32)\n"
     ]
    },
    {
     "data": {
      "image/png": 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lVZTwZhD5PnbsGPXA3XffzYnx9OnTxhqT3+836o9L/+tjzfbt28dxefbsWRw7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\nGjsQWnlraGho7EBo5a2hoaGxA/H/A4ZDT/B9phGCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec7c4d6780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "convolution with bias and relu:\n",
      "(1, 24, 24, 32)\n"
     ]
    },
    {
     "data": {
      "image/png": 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1ePzxxzmm9+/fn9M7LMvKyvgMPZqamgxjTcZ9TU0NiouL6W25XC6Ol8bGRtbJ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\nFApFEvL/Aa7FCDuFfbZWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec7c4a9be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maxpool after all the convolutions:\n",
      "(1, 12, 12, 32)\n"
     ]
    },
    {
     "data": {
      "image/png": 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bhGH92rVrXTM0ZyjXrl071ww/GK507NjR9YEHHui6du3arufPn29mheHM+pDF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\nQggRIZq8hRAiQjR5CyFEhGjyFkKICPl/2KohAM58BSsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec7c2283c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with tf.Session() as sess:\n",
    "    sess.run(tf.global_variables_initializer())\n",
    "\n",
    "    W_val = sess.run(W)\n",
    "    print('weights:')\n",
    "    show_weights(W_val)\n",
    "\n",
    "    conv_val = sess.run(conv)\n",
    "    print('convolution results:')\n",
    "    print(np.shape(conv_val))\n",
    "    show_conv_results(conv_val)\n",
    "    \n",
    "\n",
    "    conv_out_val = sess.run(conv_out)\n",
    "    print('convolution with bias and relu:')\n",
    "    print(np.shape(conv_out_val))\n",
    "    show_conv_results(conv_out_val)\n",
    "\n",
    "\n",
    "    maxpool_val = sess.run(maxpool)\n",
    "    print('maxpool after all the convolutions:')\n",
    "    print(np.shape(maxpool_val))\n",
    "    show_conv_results(maxpool_val)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
